MathDB
Hungary-Israel Binational 1995_3

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October 29, 2008
algebrapolynomialinequalities proposedinequalities

Problem Statement

The polynomial f(x)\equal{}ax^2\plus{}bx\plus{}c has real coefficients and satisfies ∣f(x)∣≤1 \left|f(x)\right|\le 1 for all x∈[0,1] x\in [0, 1]. Find the maximal value of |a|\plus{}|b|\plus{}|c|.
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